发表机构
Indian Institute of Technology Ropar（印度技术研究所罗帕尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对ℝ^(1+d)（d≥2）有界域中的半线性阻尼波动算子系数识别反问题，研究人员利用唯一延拓原理等方法，从部分Dirichlet-to-Neumann映射实现了三类系数的唯一恢复。
AI 中文摘要
本文研究了ℝ^(1+d)（d≥2）有界域中半线性阻尼波动算子的系数识别反问题。我们从部分Dirichlet-to-Neumann映射建立了阻尼系数、零阶线性项及幂型非线性项系数的唯一恢复。在系数已知于边界邻域、且Neumann边界数据仅规定在边界任意小开子集的假设下，研究了对应的唯一性问题。分析主要基于唯一延拓原理、傅里叶分析及高阶线性化技术。
英文摘要
This manuscript deals with a coefficient identification inverse problem for a semilinear damped wave operator in a bounded domain of $\mathbb{R}^{1+d}\ (d\geq 2)$. We establish the unique recovery of the damping coefficient, zeroth-order linear term, and the coefficient of the power-type nonlinearity from the partial Dirichlet-to-Neumann map. We investigate the corresponding uniqueness problem under the assumption that the coefficients are known in a neighborhood of the boundary, while the Neumann boundary data are prescribed only on an arbitrarily small open subset of the boundary. The analysis is largely based on the unique continuation principle, Fourier Analysis and the higher-order linearization technique.
